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Finding the Fourth Proportional to 580.40, 870.26 and 398

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Solution

The fourth proportional to 580.40, 870.26 and 398 is: 596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 870.26 = 398 : x
  2. Step 2: Convert to fraction form
    580.40/870.26 = 398/x
  3. Step 3: Cross multiply
    580.40x = 870.26 × 398
  4. Step 4: Simplify right side
    580.40x = 346,363.48
  5. Step 5: Solve for x
    x = 346,363.48/580.40
  6. Step 6: Final answer
    x = 596.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.